But that's not what patriarchy means in social science. I get the origin of the word, but in modern social science patriarchy is a social system in which men as a class hold disproportionate structural power over women as a class, more or less. In that sense, rape, which is often a result of men being physically more powerful than women or, as you mentioned in a different post, being more aggressive by nature, is made "easier" by a system where male dominance and female vulnerability are normalized in ways that can make sexual violence easier to commit or harder to prosecute. Now you can disagree with the latter statement (we've gone over that already), but I'm just clarifying what patriarchy actually means nowadays.
Because otherwise, we can play semantics over everything (and it feels like that's what people are doing, a lot, over here and elsewhere). For example, I'm sure you've encountered the whole "homophobia = being afraid of homosexuals" therefore this or that action cannot be "homophobic" because it's not out of fear of homosexuals. It really just devalues the whole conversation.
I do not want to discuss semantics, that's for sure (good point about homophobia, btw). I precisely wanted to adhere to what modern social science defines as patriarchy, so I referred to current dictionary definitions, which generally are up to date, but yes, I downplayed the difference of the academic term and the colloquial one.
Having said that, there is not much more in the current, academic, meaning of patriarchy, in the way that you concisely and correctly put, than what I wrote above. Hold disproportionate power is just a softened version of "rule", to put it shortly.
The academic meaning of patriarchy explicitly mentions a "social system". Now we go deeper and deeper in the crux of the argument, because that is exactly this "social system", or better, the assumption that world is organized this way, that should never be taken for granted. Modern "social sciences", and I know I am being offensive just by using the quotation marks, is not able to distinguish a thesis from an hypothesis. It simply vomits tons of circular references that orbit around an assumption, and that assumption is actually more than simply men hold disproportionate power, but (as you put it) they organically find ways to preserve that disproportionate share.
The parallel with pseudo-science is strong. You start from an arbitrary assumption (for example, that the earth is hollow), and then you start listing everything you believe that supports your "theory". Everything that challenges your theory is discarded from the get go.
What exposes pseudo-science is reality, but not completely, because in the end people chose what they want to believe.
It is then irrelevant that once society evolved, that once humanity evolved from primitive views that were common until the mid 19 century, that since then share of power (be political or economical, be it of single individuals or as a group) that women possess have increased dramatically. Very soon after humanity became enlightened enough to understand that women and men are intellectually equivalent, historically speaking the situation changed extremely fast. If there is a patriarchy, it is extremely incompetent.
So, yes, I am disputing the very notion given by modern social sciences, because nowadays it does not deserve the term "science" attached to it. I grew up surrounded by friends in those fields, so I know exactly how disparaging I sound.
But, back to our topic, I am not trying to deny the still existing challenges women, on average, face. My point is that this "canonical" approach to it is bound to fail, or better, it is simply harming the natural evolution, in the right direction, that society is processing as we speak. Yes, you can reply me with a thousand horrible statistics of what happens today. They are all true. But, whatever you get, it was ten times worse 100 years ago. The point is not where we are, is what is the trend. That trend is obvious, and was already obvious 50 years ago (at least in the west). The current biggest obstacle it faces are the wrong policies created by people who view the world through those glasses.